%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI081_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:34:00 AM UTC 2026
% Result : Theorem 0.11s 0.25s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 6 ~; 0 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 47 ( 0 atm; 12 fun; 27 num; 8 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 2 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 4 !; 4 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
sK0: $int ).
tff(func_def_7,type,
sK1: $int ).
tff(f1,conjecture,
! [X0: $int,X1: $int] :
( ( ( $sum(6,7) = X0 )
& ( $sum(7,6) = X1 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',communative_sum_6_7) ).
tff(f2,negated_conjecture,
~ ! [X0: $int,X1: $int] :
( ( ( $sum(6,7) = X0 )
& ( $sum(7,6) = X1 ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f15,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $sum(6,7) = X0 )
& ( $sum(7,6) = X1 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f16,plain,
? [X0: $int,X1: $int] :
( ( X0 != X1 )
& ( $sum(6,7) = X0 )
& ( $sum(7,6) = X1 ) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
( ( sK0 != sK1 )
& ( $sum(6,7) = sK0 )
& ( $sum(7,6) = sK1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16]) ).
tff(f18,plain,
$sum(7,6) = sK1,
inference(cnf_transformation,[],[f17]) ).
tff(f19,plain,
$sum(6,7) = sK0,
inference(cnf_transformation,[],[f17]) ).
tff(f20,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f17]) ).
tff(f21,plain,
sK1 = 13,
inference(evaluation,[],[f18]) ).
tff(f22,plain,
sK0 = 13,
inference(evaluation,[],[f19]) ).
tff(f23,plain,
sK0 != 13,
inference(superposition,[],[f20,f21]) ).
tff(f24,plain,
$false,
inference(forward_subsumption_resolution,[],[f23,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI081_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17 % Computer : n014.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 20:42:15 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 Running first-order model finding
% 0.11/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.25 % (2148439)Will run a generic schedule for satisfiability detection.
% 0.11/0.25 % (2148445)% WARNING: option uhcvi not known.
% 0.11/0.25 % (2148447)dis+10_1_sil=32000:sp=arity:random_seed=3187678396:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.25 % (2148447) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2148439-2148447"...
% 0.11/0.25 % (2148444)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1454887987_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.25 % (2148447)...printing done.
% 0.11/0.25 % (2148446)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3311534204:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.25 % (2148445)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=396541886:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.25 % (2148448)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1112337485:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.25 % (2148444)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.11/0.25 % (2148444)Terminated due to inappropriate strategy.
% 0.11/0.25 % (2148444)------------------------------
% 0.11/0.25 % (2148444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.25 % (2148444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.25 % (2148444)CaDiCaL version: 2.1.3
% 0.11/0.25 % (2148444)Termination reason: Inappropriate
% 0.11/0.25 % (2148444)Time elapsed: 0.0000 s
% 0.11/0.25 % (2148444)Peak memory usage: 10 MB
% 0.11/0.25 % (2148445) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2148439-2148445"...
% 0.11/0.25 % (2148446) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2148439-2148446"...
% 0.11/0.25 % (2148444)------------------------------
% 0.11/0.25 % (2148444)------------------------------
% 0.11/0.25 % (2148448) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2148439-2148448"...
% 0.11/0.25 % (2148447)Refutation found. Thanks to Tanya!
% 0.11/0.25 % SZS status Theorem for theBenchmark
% 0.11/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.25 % (2148447)------------------------------
% 0.11/0.25 % (2148447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.25 % (2148447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.25 % (2148447)CaDiCaL version: 2.1.3
% 0.11/0.25 % (2148447)Termination reason: Refutation
% 0.11/0.25 % (2148447)Time elapsed: 0.001 s
% 0.11/0.25 % (2148447)Peak memory usage: 12 MB
% 0.11/0.25 % (2148447)Instructions burned: 1 (million)
% 0.11/0.25 % (2148439)Success in time 0.038 s
% 0.11/0.25 % Vampire exiting
%------------------------------------------------------------------------------